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History of Hindu Mathematics: A Source Book v2.c17.s23.9

History of Hindu Mathematics: A Source Book v2.c17.s23.9

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v2.c17.s23.9

Bhâskara II further says that for the solution of equations of the forms (*i*) and (*ii*) a more general assumption will be $x² = pz² 1, y² = m²z²;$ where p, m are such that $p ± m² = a square,$ the upper sign being taken for Case *i* and the lower sign for Case *ii*. Both the equations are then identically satisfied. Suppose $p + m² = s²,$ $p - m² = t².$